Home
Class 12
MATHS
Integrate the following functions (3x^2)...

Integrate the following functions `(3x^2)/(x^6+1)`

Text Solution

Verified by Experts

Let t = `x^3`. Then `dt = `3x^2 dx`
therefore` int (3x^2)/(x^6+1) dx`
=`int dt/(t^2+1) = tan^-1 t+c`
=`tan^-1(x^3)+c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |134 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|22 Videos

Similar Questions

Explore conceptually related problems

Integrate the following functions x^2e^x

Integrate the following functions x^2/(1-x^6)

Integrate the following functions x/e^(x^2)

Integrate the following functions (3x)/(1+2x^4)

Integrate the following functions (x^2+1)logx

Integrate the following functions e^(2x+3)

Integrate the following functions x log2x

Integrate the following functions x sec^2x

Integrate the following functions (1+logx)^2/x